灰色层次分析法在地下采空区稳定性评价中的应用

为了对地下采空区稳定性进行评价，提出一种基于层次分析法和灰色关联法的综合评价方法。综合考虑影响采空区稳定性的各动态、静态、定量、定性因素，如岩体结构、地质构造等因素；通过层次分析法构建了综合评价指标体系，并确定了各指标的权重；利用灰色关联法建立采空区稳定性评价模型，从而根据各因素的关联度进行评价预测。以老鸭巢矿区为例，构建了3个层次、13个指标的综合评价指标体系，通过二级关联分析得出各采空区稳定性的关联度排序为r₂>r₇>r₁>r₅>r₃>r₉>r₆>r₄>r₈，结果表明：2、7、1号采空区稳定性最好，5、3、9、6号次之，4、8号采空区稳定性最差。

Application of Gray Hierarchy Analysis in the Stability Evaluation of Underground Mined-out Areas

A new synthetic assessment method based on the analytical hierarchy process(AHP）and grey correlation method was put forward to evaluate the stability of the underground mined-out areas. Couples of dynamic and static，quantitative and qualitative factors working on the goaf stability were taken into account，such as the rock mass structure and the geological structure factors；The AHP method was used to establish the synthetic assessment indexes system of the stability of mined-out areas and ascertain the weight matrix of the influence factors；The stability evaluation model of the mined-out areas was constructed by the grey correlation method to predict the situation of the Mined-out areas according to gray related degree. The comprehensive evaluation system was built up in Laoyachao mine，which consisted of 3 levels and 13 indexes and the correlation degree of underground mined-out areas wasr₂>r₇>r₁>r₅>r₃>r₉>r₆>r₄>r₈,by using the Second-level grey correlation analysis，The results showed that the stability of 2,7,1 mines-out areas were the best，the 5,3,9,6 took second place，and the 4,8 were the worst.